Search a number
-
+
146665420 = 225113791759
BaseRepresentation
bin10001011110111…
…10111111001100
3101012222101010121
420233132333030
5300021243140
622315314324
73430430656
oct1057367714
9335871117
10146665420
11758749a0
124114b9a4
1324502195
141569b6d6
15cd2164a
hex8bdefcc

146665420 has 48 divisors (see below), whose sum is σ = 337075200. Its totient is φ = 53161920.

The previous prime is 146665403. The next prime is 146665459. The reversal of 146665420 is 24566641.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82501 + ... + 84259.

It is an arithmetic number, because the mean of its divisors is an integer number (7022400).

Almost surely, 2146665420 is an apocalyptic number.

146665420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146665420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168537600).

146665420 is an abundant number, since it is smaller than the sum of its proper divisors (190409780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146665420 is a wasteful number, since it uses less digits than its factorization.

146665420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 146665420 is about 12110.5499462246. The cubic root of 146665420 is about 527.3624986955.

It can be divided in two parts, 146 and 665420, that added together give a palindrome (665566).

The spelling of 146665420 in words is "one hundred forty-six million, six hundred sixty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 379 758 1516 1759 1895 3518 3790 4169 7036 7580 8338 8795 16676 17590 19349 20845 35180 38698 41690 77396 83380 96745 193490 386980 666661 1333322 2666644 3333305 6666610 7333271 13333220 14666542 29333084 36666355 73332710 146665420